Gradient estimates for a nonlinear parabolic equation under Ricci flow
| dc.creator | Hsu, Shu-Yu | |
| dc.date | 2008-06-25 | |
| dc.date.accessioned | 2026-07-07T09:46:35Z | |
| dc.date.available | 2026-07-07T09:46:35Z | |
| dc.description | Let $(M,g(t))$, $0\le t\le T$, be a n-dimensional complete noncompact manifold, $n\ge 2$, with bounded curvatures and metric $g(t)$ evolving by the Ricci flow $\frac{\partial g_{ij}}{\partial t}=-2R_{ij}$. We will extend the result of L. Ma and Y. Yang and prove a local gradient estimate for positive solutions of the nonlinear parabolic equation $\frac{\1 u}{\1 t}=Δu-au\log u-qu$ where $a\in\R$ is a constant and $q$ is a smooth function on $M\times [0,T]$. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/0806.4004 | |
| dc.identifier | http://arxiv.org/abs/0806.4004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163579 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 58J05, 58J35 | |
| dc.title | Gradient estimates for a nonlinear parabolic equation under Ricci flow | |
| dc.type | text |